Answer:
12 cm × 12 cm.
Step-by-step explanation:
It is given that a square tile has a piece broken off it with 7 cm². The area of the remaining rule is 137 cm².
Total area of square = 7 + 137 = 144 cm² ...(1)
Area of a square is
[tex]Area=a^2[/tex] ...(2)
where, a is side length of square.
From (1) and (2), we get
[tex]a^2=144[/tex]
Taking square root on both sides.
[tex]a=\sqrt{144}[/tex]
[tex]a=12\ cm[/tex]
Therefore, the dimensions of the original tile are 12 cm × 12 cm.
